Solve 21/20:1/4

$$2 \frac { 1 } { 20 } : \frac { 1 } { 4 }$$

Evaluate

$$\frac{41}{5}=8.2$$

Solution Steps

Divide \frac{2\times 20+1}{20} by \frac{1}{4} by multiplying \frac{2\times 20+1}{20} by the reciprocal of \frac{1}{4}.

$$\frac{\left(2\times 20+1\right)\times 4}{20}$$

Multiply 2 and 20 to get 40.

$$\frac{\left(40+1\right)\times 4}{20}$$

Add 40 and 1 to get 41.

$$\frac{41\times 4}{20}$$

Multiply 41 and 4 to get 164.

$$\frac{164}{20}$$

Reduce the fraction \frac{164}{20} to lowest terms by extracting and canceling out 4.

$$\frac{41}{5}$$

Factor

$$\frac{41}{5} = 8\frac{1}{5} = 8.2$$